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Finding the Fourth Proportional to 4,675.40, 6,979.93 and 4,157

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Solution

The fourth proportional to 4,675.40, 6,979.93 and 4,157 is: 6,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.40 : 6,979.93 = 4,157 : x
  2. Step 2: Convert to fraction form
    4,675.40/6,979.93 = 4,157/x
  3. Step 3: Cross multiply
    4,675.40x = 6,979.93 × 4,157
  4. Step 4: Simplify right side
    4,675.40x = 29,015,569.01
  5. Step 5: Solve for x
    x = 29,015,569.01/4,675.40
  6. Step 6: Final answer
    x = 6,206.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.